Abstract A continuum theory of pantographic lattices, based on second-grade elasticity, is presented. The proposed model able to describe the mechanical behavior a type material structure made up multiple layers sheets connected with third family fibers. Thus, these materials are characterized by an orthogonal pattern fibers that can bend, stretch and twist. Numerical experiments illustrate pre...

Based on three-dimensional theory of elasticity, static analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical panel subjected to mechanical uniformed load with simply supported boundary conditions is carried out. In the process, stress and displacement fields are expanded according to the Fourier series along the axial and circumferential coordinates. From ...

Classical plate buckling theory is obtained systematically as the small-thickness limit of the three-dimensional linear theory of incremental elasticity with null incremental data. Various a priori assumptions associated with classical treatments of plate buckling, including the Kirchhoff–Love hypothesis, are here derived rather than imposed, and the conditions under which they emerge are state...

In this paper, static analysis of functionally graded annular plate resting on elastic foundation with various boundary conditions is carried out by using a semi-‍analytical approach‍ (SSM‍-DQM). The differential governing equations are presented based on the three dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially thro...

In a two-dimensional plane problem of the theory elasticity in polar coordinates for nonhomogeneous body, it is possible to obtain analytical or numerical-analytical solutions only one-dimensional nonuniformity [1 - 3]. As rule, this when all unknown functions depend on radius. These tasks correspond majority ring and cylindrical structures exposed axisymmetric effects temperature, radiation, h...